Question

f(b) > 0, then in the
If for a real continuous function f(x), f(a)
range of [a,b] for f(x) = 0, there is (are)
a) Exactly one root
b) no root exists
c) at least one root
d) roots are undermined​

Answer 1

Answer:

THE ANSWER IS :

a) Exactly one root.

Explanation:

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Answer 2

For the function, f(x) for f(x) = 0, there is

c) at least one root

Since the function, f(x) is real and continuous in the range [a,b] from the properties of continuous functions we know that -

1. If real and continuous function y = f(x) defined within the closed interval [a,b] then it takes every value between between a and b and also a and b taking values f(a) and f(b).
2. For every value of y between f(a) and f(b) there exists at least one value of x whose function's value f(x) = y.